7776829440 has 340 divisors, whose sum is σ = 27976318524. Its totient is φ = 2066743296.

The previous prime is 7776829433. The next prime is 7776829451. The reversal of 7776829440 is 449286777.

It can be written as a sum of positive squares in 2 ways, for example, as 5435817984 + 2341011456 = 73728^2 + 48384^2 .

It is a super-2 number, since 2×7776829440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26541934 + ... + 26542226.

Almost surely, 2^7776829440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7776829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988159262).

7776829440 is an abundant number, since it is smaller than the sum of its proper divisors (20199489084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7776829440 is an frugal number, since it uses more digits than its factorization.

7776829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 7776829440 is about 88186.3336350934. Note that the first 3 decimals coincide. The cubic root of 7776829440 is about 1981.2267879470.

The spelling of 7776829440 in words is "seven billion, seven hundred seventy-six million, eight hundred twenty-nine thousand, four hundred forty".